Solve m^320120- 100

Question

Simplify the expression

20120 m^{3} - 100

Evaluate

m^{3} \times 20120 - 100

Solution

20120 m^{3} - 100

Show Solution

20 (1006 m^{3} - 5)

Evaluate

m^{3} \times 20120 - 100

Use the commutative property to reorder the terms

20120 m^{3} - 100

Solution

20 (1006 m^{3} - 5)

Show Solution

m = \frac{3 5 \times 100 6 ^{2}}{1006}

Alternative Form

m \approx 0.170657

Evaluate

m^{3} \times 20120 - 100

To find the roots of the expression,set the expression equal to 0

m^{3} \times 20120 - 100 = 0

Use the commutative property to reorder the terms

20120 m^{3} - 100 = 0

Move the constant to the right-hand side and change its sign

20120 m^{3} = 0 + 100

Removing 0 doesn't change the value,so remove it from the expression

20120 m^{3} = 100

Divide both sides

\frac{20120 m ^{3}}{20120} = \frac{100}{20120}

Divide the numbers

m^{3} = \frac{100}{20120}

Cancel out the common factor 20

m^{3} = \frac{5}{1006}

Take the 3 -th root on both sides of the equation

3 m^{3} = 3 \frac{5}{1006}

Calculate

m = 3 \frac{5}{1006}

Solution

More Steps

Evaluate

3 \frac{5}{1006}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 5}{3 1006}

Multiply by the Conjugate

\frac{3 5 \times 3 100 6 ^{2}}{3 1006 \times 3 100 6 ^{2}}

The product of roots with the same index is equal to the root of the product

\frac{3 5 \times 100 6 ^{2}}{3 1006 \times 3 100 6 ^{2}}

Multiply the numbers

More Steps

Evaluate

31006 \times 3 100 6^{2}

The product of roots with the same index is equal to the root of the product

3 1006 \times 100 6^{2}

Calculate the product

3 100 6^{3}

Reduce the index of the radical and exponent with 3

1006

\frac{3 5 \times 100 6 ^{2}}{1006}

m = \frac{3 5 \times 100 6 ^{2}}{1006}

Alternative Form

m \approx 0.170657

Show Solution